Question

Write √(-12) in simplest radical form

Answer 1

Answer:
`2i√(3)`

where
`i = √(-1)`

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Work Shown:

`x = √(-12)\\\\x = √(-1*4*3)\\\\x = √(-1)*√(4)*√(3)\\\\x = i*2*√(3)\\\\x = 2i√(3)\\\\`

Therefore,
`√(-12) = 2i√(3)`

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Step-by-step explanation:

The basic steps are to factor the radicand such that we pull out the -1 and we also pull out the largest perfect square factor. That way we can then apply the rule
`√(A*B) = √(A)*√(B)` to break up the root and simplify.